Asymptotic error estimates for the Gauss quadrature formula

Authors:
M. M. Chawla and M. K. Jain

Journal:
Math. Comp. **22** (1968), 91-97

MSC:
Primary 65.55

MathSciNet review:
0223094

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References | Similar Articles | Additional Information

**[1]**P. Davis and P. Rabinowitz,*On the estimation of quadrature errors for analytic functions*, Math. Tables and Other Aids to Computation**8**(1954), 193–203. MR**0065256**, 10.1090/S0025-5718-1954-0065256-6**[2]**John McNamee,*Error-bounds for the evaluation of integrals by the Euler-Maclaurin formula and by Gauss-type formulae*, Math. Comp.**18**(1964), 368–381. MR**0185804**, 10.1090/S0025-5718-1964-0185804-1**[3]**W. Barrett,*Convergence properties of Gaussian quadrature formulae*, Comput. J.**3**(1960/1961), 272–277. MR**0128073****[4]**P. Davis and P. Rabinowitz,*Abscissas and weights for Gaussian quadratures of high order*, J. Res. Nat. Bur. Standards**56**(1956), 35–37. MR**0076463****[5]**P. Davis and P. Rabinowitz,*Abscissas and weights for Gaussian quadratures of high order*, J. Res. Nat. Bur. Standards**56**(1956), 35–37. MR**0076463****[6]**Philip J. Davis,*Interpolation and approximation*, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1963. MR**0157156****[7]**David Elliott,*The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function*, Math. Comp.**18**(1964), 274–284. MR**0166903**, 10.1090/S0025-5718-1964-0166903-7**[8]**David Elliott and George Szekeres,*Some estimates of the coefficients in the Chebyshev series expansion of a function*, Math. Comp.**19**(1965), 25–32. MR**0172447**, 10.1090/S0025-5718-1965-0172447-X

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DOI:
https://doi.org/10.1090/S0025-5718-1968-0223094-5

Article copyright:
© Copyright 1968
American Mathematical Society